77320 has 16 divisors (see below), whose sum is σ = 174060. Its totient is φ = 30912.

The previous prime is 77317. The next prime is 77323. The reversal of 77320 is 2377.

It is an interprime number because it is at equal distance from previous prime (77317) and next prime (77323).

It can be written as a sum of positive squares in 2 ways, for example, as 77284 + 36 = 278^2 + 6^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (77323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 927 + ... + 1006.

2⁷⁷³²⁰ is an apocalyptic number.

It is an amenable number.

77320 is an abundant number, since it is smaller than the sum of its proper divisors (96740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87030).

77320 is a wasteful number, since it uses less digits than its factorization.

77320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 19.

The square root of 77320 is about 278.0647406630. The cubic root of 77320 is about 42.6020615135.

Adding to 77320 its reverse (2377), we get a palindrome (79697).

The spelling of 77320 in words is "seventy-seven thousand, three hundred twenty", and thus it is an iban number.